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Solve for www. Give an exact answer in simplified form. 53w+13 < 56w + 16

1 Answer

2 votes

The solution will be:
w>-1

Step-by-step explanation

The given inequality is:
53w+13 < 56w + 16

First we will subtract
56w from both sides. So.....


53w+13-56w<16\\ \\ -3w+13<16

Now we will subtract 13 from both sides. So.....


-3w<16-13\\ \\ -3w<3

Then we need to divide both sides by -3. As here we are dividing the inequality by a negative number, so we need to switch the inequality symbol. So, we will get.......


(-3w)/(-3)>(3)/(-3)\\ \\ w>-1

Thus, the solution will be:
w>-1

User Jason Dahl
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